JEE Mains · Physics · STD 12 - 10. Wave optics
In a Young’s double slit experiment, the slits are placed \(0.320\,mm\) apart. Light of wavelength \(\lambda = 500\,nm\) is incident on the slits. The total number of bright fringes that are observed in the angular range \( - {30^o} \le \theta \le {30^o}\) is
- A \(640\)
- B \(320\)
- C \(321\)
- D \(641\)
Answer & Solution
Correct Answer
(D) \(641\)
Step-by-step Solution
Detailed explanation
\(\Delta X_{\max }=d \sin \theta=0.32 \sin 30=0.16\, \mathrm{mm}\) \(\therefore n = \frac{{\Delta {X_{\max }}}}{\lambda }\) \( = \frac{{0.16 \times {{10}^{ - 3}}}}{{500 \times {{10}^{ - 9}}}}\) \(=\frac{0.16 \times 10^{6}}{500}=\frac{1600}{5}=320\) Number of…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- The wavelength of the photon emitted by a hydrogen atom when an electron makes a transition from \(n =2\) to \(n =1\) state is ...... \(nm.\)JEE Mains 2021 Medium
- A tube of length 1 m is filled completely with an ideal liquid of mass 2 M , and closed at both ends. The tube is rotated uniformly in horizontal plane about one of its ends. If the force exerted by the liquid at the other end is F then angular velocity of the tube is \(\sqrt{\frac{\mathrm{F}}{\alpha \mathrm{M}}}\) in SI unit. The value of \(\alpha\) is __________.JEE Mains 2025 Hard
- In a double slit experiment shown in figure, when light of wavelength \(400 \mathrm{~nm}\) is used, dark fringe is observed at \(P\). If \(D=0.2 \mathrm{~m}\). the minimum distance between the slits \(S_1\) and \(S_2\) is ____________ \(mm\).
JEE Mains 2024 Hard - The magnetic field at the centre of a current carrying circular loop of radius \(R\) is 16 \(\mu\)T. The magnetic field at a distance \(x = \sqrt{3}R\) on its axis from the centre is ________ \(\mu\)T.JEE Mains 2026 Medium
- For the plane electromagnetic wave given by \(\mathrm{E}=\mathrm{E}_0 \sin (\omega \mathrm{t}-\mathrm{kx})\) and \(\mathrm{B}=\mathrm{B}_0 \sin (\omega \mathrm{t}-\mathrm{kx})\), the ratio of average electric energy density to average magnetic energy density isJEE Mains 2023 Medium
- For an \(RLC\) circuit driven with voltage of amplitude \(v_m\) and frequency \({\omega _0} = \frac{1}{{\sqrt {LC} }}\) the current exhibits resonance. The quality factor, \(Q\) is given by:JEE Mains 2018 Easy
More PYQs from JEE Mains
- Match List\(-I\) with List\(-II.\)
Choose the most appropriate answer from the option given below :List\(-I\) List\(-II\) \((a)\) Torque \((i)\) \({MLT}^{-1}\) \((b)\) Impulse \((ii)\) \({MT}^{-2}\) \((c)\) Tension \((iii)\) \({ML}^{2} {T}^{-2}\) \((d)\) Surface Tension \((iv)\) \({MI} {T}^{-2}\) JEE Mains 2021 Medium - An object of mass \(1 kg\) is taken to a height from the surface of earth which is equal to three times the radius of earth. The gain in potential energy of the object will be \(....MJ\)[If, \(g =10\,ms ^{-2}\) and radius of earth \(=6400\,km\) ]JEE Mains 2022 Medium
- The number of different 5 digit numbers greater than 50000 that can be formed using the digits 0 , \(1,2,3,4,5,6,7\), such that the sum of their first and last digits should not be more than 8 , isJEE Mains 2025 Medium
- Let \(A=\left[\begin{array}{lll}1 & 0 & 0 \\ 0 & \alpha & \beta \\ 0 & \beta & \alpha\end{array}\right]\) and \(|2 A|^3=2^{21}\) where \(\alpha, \beta \in Z\), Then a value of \(\alpha \) isJEE Mains 2024 Hard
- Let \(\vec \alpha \, = \,3\hat i\, + \hat j\) and \(\vec \beta \, = \,2\hat i\, - \hat j + 3\hat k.\) If \(\vec \beta \, = \,{\vec \beta _1} - {\vec \beta _2},\) where \({\vec \beta _1}\) is parallel to \(\vec \alpha \) and \(\vec \beta_2 \) is perpendicular to \(\vec \alpha ,\) then \({\vec \beta _1} \times {\vec \beta _2}\) is equal toJEE Mains 2019 Hard
- Let the three sides of a triangle \(A B C\) be given by the vectors \(2 \hat{i}-\hat{j}+\hat{k}, \quad \hat{i}-3 \hat{j}-5 \hat{k}\) and \(3 \hat{i}-4 \hat{j}-4 \hat{k}\). Let \(G\) be the centroid of the triangle \(A B C\). Then \(6\left(|\overrightarrow{\mathrm{AG}}|^2+|\overrightarrow{\mathrm{BG}}|^2+|\overrightarrow{\mathrm{CG}}|^2\right)\) is equal to ________JEE Mains 2025 Medium